14.34 Gutsell (1951) measured hemoglobin in the blood of brown trout after treat- ment with four rates of sulfamerazine. Two methods of administering the sul- famerazine were used. Ten fish were measured for each rate and each method. The data are given in Table 14.7. Test for effect of rate and method and interaction. TABLE 14.7 Hemoglobin Concentration (g/mL) in Blood of Brown Trout Rate: 1 3 Method: A B A 2 B A B A 4 B
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- A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150The following data are from an experiment on carnations. The explanatory variable is the amount of inorganic bromine (micrograms per milliliter) in a plot of standard size. The response variable is the average number of flowers per carnation plant for the 30 plants grown in the plot. Find the change in number of flowers per plant given an increase in 1 µg per mL of inorganic bromine. Amount of bromine Average no. of flowers Select one: O a. -0.216 O b. 0.216 O c. O d. -3.81 4.04 3 3.2 4 2.9 6 3.7 7 2.2 8 1.8 10 2.3 12 1.7 15 16 0.8 0.3The following are the cystatin C levels (mg/L) for the patients described in Exercise 15 (A-17).Cystatin C is a cationic basic protein that was investigated for its relationship to GFR levels. Inaddition, creatinine levels are also given. (Note: Some subjects were measured more than once.)Cystatin C (mg/L) Creatinine (mmol/L)1.78 4.69 0.35 0.142.16 3.78 0.30 0.111.82 2.24 0.20 0.091.86 4.93 0.17 0.121.75 2.71 0.15 0.071.83 1.76 0.13 0.122.49 2.62 0.14 0.111.69 2.61 0.12 0.071.85 3.65 0.24 0.101.76 2.36 0.16 0.131.25 3.25 0.17 0.091.50 2.01 0.11 0.122.06 2.51 0.12 0.062.34Source: Data provided courtesy of D. M. Z. Krieser, M.D.(a) For each variable, compute the mean, median, variance, standard deviation, and coefficient ofvariation.(b) For each variable, construct a stem-and-leaf display and a box-and-whisker plot.(c) Which set of measurements is more variable, cystatin C or creatinine? On what do you base youranswer?
- The following are the cystatin C levels (mg/L) for the patients described in Exercise 15 (A-17).Cystatin C is a cationic basic protein that was investigated for its relationship to GFR levels. In addition, creatinine levels are also given. (Note: Some subjects were measured more thanonce.) Cystatin C (mg/L) Creatinine (mmol/L) 1.78 4.69 0.35 0.14 2.16 3.78 0.30 0.11 1.82 2.24 0.20 0.09 1.86 4.93 0.17 0.12 1.75 2.71 0.15 0.07 1.83 1.76 0.13 0.12 2.49 2.62 0.14 0.11 1.69 2.61 0.12 0.07 1.85 3.65 0.24 0.10 1.76 2.36 0.16 0.13 1.25 3.25 0.17 0.09 1.50 2.01 0.11 0.12 2.06 2.51 0.12 0.06 2.34Source: D. M. Z. Krieser, M.D. Used with permission.(a) For each variable, compute the mean, median, variance, standard deviation, and coefficient ofvariation.(b) For each variable, construct a stem-and-leaf display and a box-and-whisker plot.(c) Which set of measurements is more variable, cystatin C or creatinine? On what do you baseyour answer? that question from…A diet center wanted to test three different methods for losing weight to determine if the average weight loss (reported in pounds/week) for each method is the same. The results for the three methods are tabulated below. Given that there is a significant difference between the three methods, use the Tukey test to determine if there is a significant difference between each pair of methods. Let a=0.05. (picture attached)Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.
- 14.34 Gutsell (1951) measured hemoglobin in the blood of brown trout after treat- ment with four rates of sulfamerazine. Two methods of administering the sul- famerazine were used. Ten fish were measured for each rate and each method. The data are given in Table 14.7. Test for effect of rate and method and interaction.Two different analytical methods were used to determine residual chlorine in sewage effluents. Both methods were used on the same samples, but each sample came from various locations with differing amounts of contact time with the effluent. Two methods were used to determine the concentration of Cl in mg/L, and the results are shown in the attached table. A. What type of t test should be used to compare the two methods and why? B. Do the two methods give different results? State and test the appropriatehypotheses at 95% confidence level. C. Does the conclusion depend on whether the 90%, 95%, or 99% confidence levelsare used?A sample of ore is found to be 0.0022% gold and 0.059% silver. What is the percentage of matter in the ore that is neither gold or silver?